- 9.2.31E: State the null and alternative hypothesis in each case.(a) A hypoth...
- 9.2.32E: A hypothesis will be used to test that a population mean equals 7 a...
- 9.2.33E: A hypothesis will be used to test that a population mean equals 10 ...
- 9.2.34E: A hypothesis will be used to test that a population mean equals 5 a...
- 9.2.35E: For the hypothesis test and variance known, calculate theP-value fo...
- 9.2.36E: For the hypothesis test and variance known, calculate the P-value f...
- 9.2.37E: ?For the hypothesis test against and variance known, calculate the ...
- 9.2.38E: ?Output from a software package follows: (a) Fill in the missing it...
- 9.2.39E: ?Output from a software package follows:One-Sample Z:* Test of of T...
- 9.2.40E: ?Output from a software package follows:One-Sample Z:Test of The as...
- 9.2.41E: ?Output from a software package follows:One-Sample Test of The assu...
- 9.2.42E: The mean water temperature downstream from a discharge pipe at a po...
- 9.2.43E: ?A manufacturer produces crankshafts for an automobile engine. The ...
- 9.2.44E: ?A melting point test of samples of a binder used in manufacturing ...
- 9.2.45E: ?The life in hours of a battery is known to be approximately normal...
- 9.2.46E: ?An engineer who is studying the tensile strength of a steel alloy ...
- 9.2.47E: ?Supercavitation is a propulsion technology for undersea vehicles t...
- 9.2.48E: ?A bearing used in an automotive application is supposed to have a ...
- 9.2.49E: ?Medical researchers have developed a new artificial heart construc...
- 9.2.50E: Humans are known to have a mean gestation period of 280 days (from ...
- 9.2.51E: The bacterial strain Acinetobacter has been tested for its adhesion...
Solutions for Chapter 9.2: Applied Statistics and Probability for Engineers 6th Edition
Full solutions for Applied Statistics and Probability for Engineers | 6th Edition
In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.
Asymptotic relative eficiency (ARE)
Used to compare hypothesis tests. The ARE of one test relative to another is the limiting ratio of the sample sizes necessary to obtain identical error probabilities for the two procedures.
Axioms of probability
A set of rules that probabilities deined on a sample space must follow. See Probability
An estimator for a parameter obtained from a Bayesian method that uses a prior distribution for the parameter along with the conditional distribution of the data given the parameter to obtain the posterior distribution of the parameter. The estimator is obtained from the posterior distribution.
The joint probability distribution of two random variables.
Box plot (or box and whisker plot)
A graphical display of data in which the box contains the middle 50% of the data (the interquartile range) with the median dividing it, and the whiskers extend to the smallest and largest values (or some deined lower and upper limits).
An attribute control chart that plots the total number of defects per unit in a subgroup. Similar to a defects-per-unit or U chart.
The portion of the variability in a set of observations that is due to only random forces and which cannot be traced to speciic sources, such as operators, materials, or equipment. Also called a common cause.
Components of variance
The individual components of the total variance that are attributable to speciic sources. This usually refers to the individual variance components arising from a random or mixed model analysis of variance.
Conditional probability distribution
The distribution of a random variable given that the random experiment produces an outcome in an event. The given event might specify values for one or more other random variables
The probability 1?a associated with a conidence interval expressing the probability that the stated interval will contain the true parameter value.
See Control chart.
A term used for the quantity ( / )( ) 1 1 2 n xi i n ? = that is subtracted from xi i n 2 ? =1 to give the corrected sum of squares deined as (/ ) ( ) 1 1 2 n xx i x i n ? = i ? . The correction factor can also be written as nx 2 .
Cumulative distribution function
For a random variable X, the function of X deined as PX x ( ) ? that is used to specify the probability distribution.
A parameter in a tabular CUSUM algorithm that is determined from a trade-off between false alarms and the detection of assignable causes.
Distribution free method(s)
Any method of inference (hypothesis testing or conidence interval construction) that does not depend on the form of the underlying distribution of the observations. Sometimes called nonparametric method(s).
Another name for a cumulative distribution function.
A study in which a sample from a population is used to make inference to the population. See Analytic study
Estimator (or point estimator)
A procedure for producing an estimate of a parameter of interest. An estimator is usually a function of only sample data values, and when these data values are available, it results in an estimate of the parameter of interest.
Gamma random variable
A random variable that generalizes an Erlang random variable to noninteger values of the parameter r